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The occurrence of frequency aliasing and its representation in time and frequency domain are analyzed with sampling theory. Relationship between the sampled signal and the original signal is calculated and shows that the frequency of the original signal can be recovered by using the rule of frequency aliasing. Ideal sampled signals with frequency aliasing are simulated, and the frequency recovering method is confirmed by numerical simulations. The interior ballistic velocity in a two-stage light gas gun is measured by a laser displacement interferometer and the optical beam break method. The frequency of the laser interference signal recovered by aliasing rules is the same as the frequency obtained from the optical beam break method, which solves the contradiction between the recording length and the sampling frequency in high velocity measurements of long time duration, such as interior ballistic velocity measurement.

, authors=Tian-Jiong TAO, Xiang WANG, Hong CHEN, Wei WANG, Qiu-Wei FU, Xiao-Song WANG, authorsList=Tian-Jiong TAO, Xiang WANG, Hong CHEN, Wei WANG, Qiu-Wei FU, Xiao-Song WANG, authorCompany=null, correspAuthors=null, authorNote=null, correspAuthorsNote=null, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=null, pdfFileSize=null, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, fund=null), CN=ArticleExt(id=1325115593480864070, articleId=1325115590154780996, tenantId=1146029695717560320, journalId=1255847867265597444, language=CN, title=频率混叠在气体炮内弹道速度测量中的应用, columnId=0, journalTitle=高压物理学报, columnName=, runingTitle=null, highlight=null, articleAbstract=

从采样理论出发，分析频率混叠现象的产生规律及其在时域和频域中的表现形式，获得采样信号频率与原始信号频率的关系，论证了利用频率混叠规律恢复原始信号频率的可行性。采用数值方法模拟理想条件下的频率混叠信号，分析原始信号频率恢复方法。利用激光位移干涉仪和光束遮断法，开展了二级轻气炮内弹道速度的对比测量实验，根据频率混叠规律恢复干涉信号频率，得到的结果与光束遮断法测量结果一致，解决了内弹道长历程、高速测量中记录长度与采样率之间的矛盾。

, authors=陶天炯, 王翔, 陈宏, 王为, 傅秋卫, 汪晓松, authorsList=陶天炯, 王翔, 陈宏, 王为, 傅秋卫, 汪晓松, authorCompany=null, correspAuthors=null, authorNote=, correspAuthorsNote=null, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=+DRym3sbBnRERIW8HlAlOA==, magXml=pzn+8u5F3uoD3J3ujg0ntQ==, pdfUrl=null, pdf=+hq431NSv4zTLCidKcKe8Q==, pdfFileSize=1510729, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=IPWsboisuf8OHXKSsECc7w==, mapNumber=null, fund=null)}, authors=[Author(id=1325115597725499724, tenantId=1146029695717560320, journalId=1255847867265597444, articleId=1325115590154780996, orderNo=0, firstName=null, middleName=null, lastName=null, nameCn=null, orcid=null, stid=null, country=null, authorPic=null, dead=0, email=tjtao@caep.ac.cn, emailSecond=null, emailThird=null, correspondingAuthor=0, authorType=1, ext={EN=AuthorExt(id=1325115598207844686, tenantId=1146029695717560320, journalId=1255847867265597444, articleId=1325115590154780996, authorId=1325115597725499724, language=EN, stringName=Tian-Jiong TAO, firstName=Tian-Jiong, middleName=null, lastName=TAO, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=National Key Laboratory of Shock Wave and Detonation Physics, Institute of Fluid Physics, CAEP, Mianyang 621900, China, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null), CN=AuthorExt(id=1325115598543389007, tenantId=1146029695717560320, journalId=1255847867265597444, articleId=1325115590154780996, authorId=1325115597725499724, language=CN, stringName=陶天炯, firstName=null, middleName=null, lastName=null, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=中国工程物理研究院流体物理研究所冲击波物理与爆轰物理实验室，四川 绵阳　621900, bio={"content":"

陶天炯（1984—），男，硕士，研究实习员，主要从事动高压诊断技术研究. E-mail：tjtao@caep.ac.cn

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陶天炯（1984—），男，硕士，研究实习员，主要从事动高压诊断技术研究. E-mail：tjtao@caep.ac.cn

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